8071092469440 has 896 divisors, whose sum is σ = 38229551216640. Its totient is φ = 1548099993600.

The previous prime is 8071092469421. The next prime is 8071092469469. The reversal of 8071092469440 is 449642901708.

8071092469440 is a `hidden beast` number, since 8 + 0 + 71 + 0 + 92 + 46 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8182030 + ... + 9115250.

It is an arithmetic number, because the mean of its divisors is an integer number (42666909840).

Almost surely, 2^{8071092469440} is an apocalyptic number.

8071092469440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8071092469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19114775608320).

8071092469440 is an abundant number, since it is smaller than the sum of its proper divisors (30158458747200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8071092469440 is a wasteful number, since it uses less digits than its factorization.

8071092469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933278 (or 933262 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8071092469440 in words is "eight trillion, seventy-one billion, ninety-two million, four hundred sixty-nine thousand, four hundred forty".